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Finding the Fourth Proportional to 564.53, 779.05 and 328.53

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Solution

The fourth proportional to 564.53, 779.05 and 328.53 is: 453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.53 : 779.05 = 328.53 : x
  2. Step 2: Convert to fraction form
    564.53/779.05 = 328.53/x
  3. Step 3: Cross multiply
    564.53x = 779.05 × 328.53
  4. Step 4: Simplify right side
    564.53x = 255,941.30
  5. Step 5: Solve for x
    x = 255,941.30/564.53
  6. Step 6: Final answer
    x = 453.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.